Determining the Magnetic Anisotropy: Difference between revisions

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Description: Magnetocrystalline Anisotropy Energy determined non-self-consistently
Description: Magnetocrystalline Anisotropy Energy determined non-self-consistently


The Magnetocrystalline Anisotropy Energy is determined by rotating all spins according to different directions. First of all, an accurate ([[PREC|PREC]] = Accurate, [[LREAL|LREAL]] = .False.) collinear calculation (using the vasp-std script) in the ground state has to be done. Next, the Spin-Orbit Coupling ([[LSORBIT|LSORBIT]] = .True. ; using the vasp-ncl script) is took into account non-self-consistently ([[ICHARG|ICHARG]] = 11) for several spin orientations. In most of cases, the changes in energies are very low  (sometimes, it could be about the micro-eV). The number of bands has to be twice compared to a collinear run).
The Magnetocrystalline Anisotropy Energy is determined by rotating all spins according to different directions. First of all, an accurate ([[PREC|PREC]] = Accurate, [[LREAL|LREAL]] = .False.) collinear calculation (using the vasp-std script) in the ground state has to be done. Next, the Spin-Orbit Coupling ([[LSORBIT|LSORBIT]] = .True. ; using the vasp-ncl script) is taken into account non-self-consistently ([[ICHARG|ICHARG]] = 11) for several spin orientations. In most of cases, the changes in energies are very low  (sometimes, it could be about the micro-eV). The number of bands has to be twice compared to a collinear run).


To modify the orientation of the spins in the crystal, we consider the second approach describes [[SAXIS|here]]. For the [[MAGMOM|MAGMOM]]-tag, the total local magnetic moment is written according to the z direction (necessarily, the x and y-directions are equal to 0). The spin orientation [uvw] is defined by the [[SAXIS|SAXIS]]-tag in the Cartesian frame. The Magnetocrystalline Anisotropy Energy is calculated by orientating the spins in different directions and the following equation : E<sub>MAE</sub> = E<sub>[uvw]</sub> - E<sub>min</sub>, with E<sub>min</sub> the energy of the most stable spin orientation.
To modify the orientation of the spins in the crystal, we consider the second approach described [[SAXIS|here]]. For the [[MAGMOM|MAGMOM]]-tag, the total local magnetic moment is written according to the z direction (necessarily, the x and y-directions are equal to 0). The spin orientation [uvw] is defined by the [[SAXIS|SAXIS]]-tag in the Cartesian frame. The Magnetocrystalline Anisotropy Energy is calculated by orientating the spins in different directions and the following equation : E<sub>MAE</sub> = E<sub>[uvw]</sub> - E<sub>min</sub>, with E<sub>min</sub> the energy of the most stable spin orientation.




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  1.5 1.5 1.5
  1.5 1.5 1.5
</pre>
</pre>
== Used INCAR Tags ==
{{TAG|AMIX}}, {{TAG|AMIX_MAG}}, {{TAG|BMIX}}, {{TAG|BMIX_MAG}}, {{TAG|EDIFF}}, {{TAG|ENCUT}}, {{TAG|GGA_COMPAT}}, {{TAG|I_CONSTRAINED_M}}, {{TAG|ICHARG}}, {{TAG|ISMEAR}},{{TAG|ISPIN}}, {{TAG|ISYM}}, {{TAG|LAMBDA}}, {{TAG|LCHARG}}, {{TAG|LDAU}}, {{TAG|LDAUJ}}, {{TAG|LDAUL}}, {{TAG|LDAUPRINT}}, {{TAG|LDAUTYPE}}, {{TAG|LDAUU}}, {{TAG|LMAXMIX}}, {{TAG|LORBIT}}, {{TAG|LREAL}}, {{TAG|LSORBIT}}, {{TAG|LWAVE}}, {{TAG|M_CONSTR}}, {{TAG|MAGMOM}}, {{TAG|NBANDS}}, {{TAG|NELMIN}}, {{TAG|PREC}}, {{TAG|RWIGS}}, {{TAG|SAXIS}}, {{TAG|SYSTEM}}


== Download ==
== Download ==
[http://www.vasp.at/vasp-workshop/examples/nio_noSOC.tgz nio_noSOC.tgz]
[[Media:nio_noSOC.tgz| nio_noSOC.tgz]]
----
----
[[VASP_example_calculations|To the list of examples]] or to the [[The_VASP_Manual|main page]]


[[Category:Examples]]
[[Category:Examples]]

Revision as of 07:13, 18 August 2020

Description: Magnetocrystalline Anisotropy Energy determined non-self-consistently

The Magnetocrystalline Anisotropy Energy is determined by rotating all spins according to different directions. First of all, an accurate (PREC = Accurate, LREAL = .False.) collinear calculation (using the vasp-std script) in the ground state has to be done. Next, the Spin-Orbit Coupling (LSORBIT = .True. ; using the vasp-ncl script) is taken into account non-self-consistently (ICHARG = 11) for several spin orientations. In most of cases, the changes in energies are very low (sometimes, it could be about the micro-eV). The number of bands has to be twice compared to a collinear run).

To modify the orientation of the spins in the crystal, we consider the second approach described here. For the MAGMOM-tag, the total local magnetic moment is written according to the z direction (necessarily, the x and y-directions are equal to 0). The spin orientation [uvw] is defined by the SAXIS-tag in the Cartesian frame. The Magnetocrystalline Anisotropy Energy is calculated by orientating the spins in different directions and the following equation : EMAE = E[uvw] - Emin, with Emin the energy of the most stable spin orientation.


More details are available in the SAXIS and LSORBIT pages.

Exercise : Determine the Magnetocrystalline Anisotropy Energy of NiO in a non self-consistent approach by orientating the spins along the following path : (2,2,2) --> (2,2,1) --> (2,2,0) --> ... --> (2,2,-6). Compare to the self-consistent approach.


NiO MAE
  SYSTEM    = "NiO"
    
Electronic minimization
  PREC = Accurate
  ENCUT         = 450
  EDIFF         = 1E-7
  LORBIT        = 11
  LREAL         = .False.
  ISYM          = -1
  NELMIN        = 6
  #  ICHARG = 11
  #  LCHARG = .FALSE.
  #  LWAVE = .FALSE.
  #  NBANDS = 52
  #  GGA_COMPAT = .FALSE.
    
 DOS
  ISMEAR    = -5
Magnetism
  ISPIN     = 2
  MAGMOM = 2.0 -2.0 2*0.0
  # MAGMOM    = 0 0 2 0 0 -2 6*0 # Including Spin-orbit
  # LSORBIT       = .True.
  # SAXIS = 1 0 0 # Quantization axis used to rotate all spins in a direction defined in the (O,x,y,z) Cartesian frame
   
Orbital mom.
  LORBMOM = T
Mixer
  AMIX      = 0.2
  BMIX      = 0.00001
  AMIX_MAG  = 0.8
  BMIX_MAG  = 0.00001
GGA+U
  LDAU      = .TRUE.
  LDAUTYPE  = 2
  LDAUL     = 2 -1
  LDAUU     = 5.00 0.00
  LDAUJ    = 0.00 0.00
  LDAUPRINT = 2
  LMAXMIX   = 4 


k-points
 0
gamma
 4  4  4 
 0  0  0
NiO
 4.17
 1.0 0.5 0.5
 0.5 1.0 0.5
 0.5 0.5 1.0
 2 2
Cartesian
 0.0 0.0 0.0
 1.0 1.0 1.0
 0.5 0.5 0.5
 1.5 1.5 1.5

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nio_noSOC.tgz